zgesc2(l) [redhat man page]

ZGESC2(l)								 )								 ZGESC2(l)

NAME

       ZGESC2  -  solve  a system of linear equations  A * X = scale* RHS  with a general N-by-N matrix A using the LU factorization with complete
       pivoting computed by ZGETC2

SYNOPSIS

       SUBROUTINE ZGESC2( N, A, LDA, RHS, IPIV, JPIV, SCALE )

	   INTEGER	  LDA, N

	   DOUBLE	  PRECISION SCALE

	   INTEGER	  IPIV( * ), JPIV( * )

	   COMPLEX*16	  A( LDA, * ), RHS( * )

PURPOSE

       ZGESC2 solves a system of linear equations A * X = scale* RHS with a general N-by-N matrix A using the LU factorization with complete  piv-
       oting computed by ZGETC2.

ARGUMENTS

       N       (input) INTEGER
	       The number of columns of the matrix A.

       A       (input) COMPLEX*16 array, dimension (LDA, N)
	       On entry, the  LU part of the factorization of the n-by-n matrix A computed by ZGETC2:  A = P * L * U * Q

       LDA     (input) INTEGER
	       The leading dimension of the array A.  LDA >= max(1, N).

       RHS     (input/output) COMPLEX*16 array, dimension N.
	       On entry, the right hand side vector b.	On exit, the solution vector X.

       IPIV    (iput) INTEGER array, dimension (N).
	       The pivot indices; for 1 <= i <= N, row i of the matrix has been interchanged with row IPIV(i).

       JPIV    (iput) INTEGER array, dimension (N).
	       The pivot indices; for 1 <= j <= N, column j of the matrix has been interchanged with column JPIV(j).

       SCALE	(output) DOUBLE PRECISION
		On exit, SCALE contains the scale factor. SCALE is chosen 0 <= SCALE <= 1 to prevent owerflow in the solution.

FURTHER DETAILS

       Based on contributions by
	  Bo Kagstrom and Peter Poromaa, Department of Computing Science,
	  Umea University, S-901 87 Umea, Sweden.

LAPACK version 3.0						   15 June 2000 							 ZGESC2(l)

zgesc2.f(3)							      LAPACK							       zgesc2.f(3)

NAME

       zgesc2.f -

SYNOPSIS

   Functions/Subroutines
       subroutine zgesc2 (N, A, LDA, RHS, IPIV, JPIV, SCALE)
	   ZGESC2 solves a system of linear equations using the LU factorization with complete pivoting computed by sgetc2.

Function/Subroutine Documentation
   subroutine zgesc2 (integerN, complex*16, dimension( lda, * )A, integerLDA, complex*16, dimension( * )RHS, integer, dimension( * )IPIV, integer,
       dimension( * )JPIV, double precisionSCALE)
       ZGESC2 solves a system of linear equations using the LU factorization with complete pivoting computed by sgetc2.

       Purpose:

	    ZGESC2 solves a system of linear equations

		      A * X = scale* RHS

	    with a general N-by-N matrix A using the LU factorization with
	    complete pivoting computed by ZGETC2.

       Parameters:
	   N

		     N is INTEGER
		     The number of columns of the matrix A.

	   A

		     A is COMPLEX*16 array, dimension (LDA, N)
		     On entry, the  LU part of the factorization of the n-by-n
		     matrix A computed by ZGETC2:  A = P * L * U * Q

	   LDA

		     LDA is INTEGER
		     The leading dimension of the array A.  LDA >= max(1, N).

	   RHS

		     RHS is COMPLEX*16 array, dimension N.
		     On entry, the right hand side vector b.
		     On exit, the solution vector X.

	   IPIV

		     IPIV is INTEGER array, dimension (N).
		     The pivot indices; for 1 <= i <= N, row i of the
		     matrix has been interchanged with row IPIV(i).

	   JPIV

		     JPIV is INTEGER array, dimension (N).
		     The pivot indices; for 1 <= j <= N, column j of the
		     matrix has been interchanged with column JPIV(j).

	   SCALE

		     SCALE is DOUBLE PRECISION
		      On exit, SCALE contains the scale factor. SCALE is chosen
		      0 <= SCALE <= 1 to prevent owerflow in the solution.

       Author:
	   Univ. of Tennessee

	   Univ. of California Berkeley

	   Univ. of Colorado Denver

	   NAG Ltd.

       Date:
	   September 2012

       Contributors:
	   Bo Kagstrom and Peter Poromaa, Department of Computing Science, Umea University, S-901 87 Umea, Sweden.

       Definition at line 116 of file zgesc2.f.

Author
       Generated automatically by Doxygen for LAPACK from the source code.

Version 3.4.2							  Tue Sep 25 2012						       zgesc2.f(3)